Given that the first term is: t1 = 2, and the recursive definition is: t n + 1 = 3 ( t n ), what would be the 2nd term

group of answer choices

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The second term of the sequence is T(2)  = 6.

Step-by-step explanation:

Here, the first term is given as

T(1)  = 2

The general Formula for nth term is given as:

T(n  + 1) =  3(T(n))

Now, here the second  term

for,  n = 1

T(1+1) = 3 (T(1))

or, T(2)  = 3 T(1)

⇒ T(2)  = 3 x 2 = 6

Hence, the second term of the sequence is T(2)  = 6.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

28

step-by-step explanation:

because that's the answer